Qc chart 101
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The document outlines the steps to create a quality control chart: 1. Compute the mean of the sample data (here, 5) 2. Calculate the standard deviation by taking the differences from the mean, squaring them, summing them, and taking the square root (here, 3.16) 3. Use the mean and standard deviation to determine the control limits at 1SD, 2SD, and 3SD from the mean (here, 1.84 to 8.16 at 1SD and -1.32 to 11.32 at 2SD)
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This document provides information about calculating measures of central tendency - mean, median, and mode - for business statistics. It gives examples and explanations of how to calculate the mean by adding all values and dividing by the total number. The median is found by listing values in order and choosing the middle one. The mode is the value that occurs most often. It also shows how to calculate the mean, median, and mode for grouped data using specific formulas.
Engineering Data Analysis-ProfCharlton
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1-3 Distance and Midpoint.ppt
The document discusses distance and midpoint formulas for finding the distance between two points and the midpoint of a line segment. It provides examples of using the distance formula to find the distance between points and the midpoint formula to find the midpoint. It also explains that if you know one endpoint and the midpoint, you can use the midpoint formula to find the other endpoint.
K means clustering
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Qc chart 101
- 1. Making a QC Chart
- 2. Step 1: Compute the Mean • With the following data compute for the mean/average – 1, 3, 5, 7, 9 – 1+3+5+7+9 = 25; 25/5 = 5 = Mean
- 3. Step 2: Compute for the Standard Deviation • SD formula:
- 4. Step 2: Compute for the Standard Deviation • 2.1: Compute for the (X-Mean) • Data 1, 3, 5, 7, 9; Mean = 5 • 1-5 = -4 • 3-5 = -2 • 5-5 = 0 • 7-5 = 2 • 9-5 = 4
- 5. Step 2: Compute for the Standard Deviation • 2.2: Compute for the (X-Mean)^2 • Data 1, 3, 5, 7, 9; Mean = 5 • 1-5 = -4 = -4^2 or -4 x -4 = 16 • 3-5 = -2 = -2^2 or -2 x -2 = 4 • 5-5 = 0 = 0^2 or 0 x 0 = 0 • 7-5 = 2 = 2^2 or 2 x 2 = 4 • 9-5 = 4 = 4^2 or 4 x 4 = 16
- 6. Step 2: Compute for the Standard Deviation • 2.3: Compute for the S (X-Mean)^2 • Data 1, 3, 5, 7, 9; Mean = 5 • 1-5 = -4 = -4^2 or -4 x -4 = 16 • 3-5 = -2 = -2^2 or -2 x -2 = 4 • 5-5 = 0 = 0^2 or 0 x 0 = 0 • 7-5 = 2 = 2^2 or 2 x 2 = 4 • 9-5 = 4 = 4^2 or 4 x 4 = 16 • Summation = 16 + 4 + 0 + 4 + 16 = 40
- 7. Step 2: Compute for the Standard Deviation • 2.4: Compute S (X-Mean)^2 / n-1 • Data 1, 3, 5, 7, 9; Mean = 5 • Summation = 16 + 4 + 0 + 4 + 16 = 40 • 40 / (5-1) • 40 / 4 • 10
- 8. Step 2: Compute for the Standard Deviation • 2.5: Compute SD • Data 1, 3, 5, 7, 9; Mean = 5 • Summation = 16 + 4 + 0 + 4 + 16 = 40 • Sqrt 10 • SD = 3.16
- 9. Step 3: Compute 1SD 2SD 3SD Intervals • Data 1, 3, 5, 7, 9; Mean = 5 • Summation = 16 + 4 + 0 + 4 + 16 = 40 • SD = 3.16 SD Range Computation Mean+(xSD) Result +3SD 5 + (3.16x3) 14.48 +2SD 5 + (3.16x2) 11.32 +1SD 5 + (3.16x1) 8.16 Mean 5 + (3.16x0) 5 -1SD 5 - (3.16x1) 1.84 -2SD 5 - (3.16x2) -1.32 -3SD 5 - (3.16x3) -4.48
- 10. Step 4: Construct a Chart and Plot the Data • Data 1, 3, 5, 7, 9; Mean = 5 • Summation = 16 + 4 + 0 + 4 + 16 = 40 • SD = 3.16 -4.48 -1.32 1.84 5 8.16 11.32 14.48 +3SD 14.48 +2SD 11.32 +1SD 8.16 Mean 5 -1SD 1.84 -2SD -1.32 -3SD -4.48
- 11. Step 5: Interpret the Chart Using Wesgard Rule -4.48 -1.32 1.84 5 8.16 11.32 14.48